Question
what is a simpler form of each product
(4x-6y^3)^2
(4x-6y^3)^2
Answers
GPT 3.5
A simpler form of the product (4x-6y^3)^2 can be found by expanding the expression using the distributive property and simplifying any like terms.
(4x-6y^3)^2 = (4x-6y^3)(4x-6y^3)
Using the FOIL method, we multiply the first terms, multiply the outer terms, multiply the inner terms, and multiply the last terms.
(4x-6y^3)(4x-6y^3) = 16x^2 - 24xy^3 - 24xy^3 + 36y^6
Combining like terms, we have:
16x^2 - 48xy^3 + 36y^6
Thus, a simpler form of the product (4x-6y^3)^2 is 16x^2 - 48xy^3 + 36y^6.
(4x-6y^3)^2 = (4x-6y^3)(4x-6y^3)
Using the FOIL method, we multiply the first terms, multiply the outer terms, multiply the inner terms, and multiply the last terms.
(4x-6y^3)(4x-6y^3) = 16x^2 - 24xy^3 - 24xy^3 + 36y^6
Combining like terms, we have:
16x^2 - 48xy^3 + 36y^6
Thus, a simpler form of the product (4x-6y^3)^2 is 16x^2 - 48xy^3 + 36y^6.